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NON-STANDARD VERMA TYPE MODULES FOR 𝔮(n)(2)

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Abstract

We study non-standard Verma type modules over the Kac-Moody queer Lie superalgebra 𝔮(n)(2). We give a sufficient condition under which such modules are irreducible. We also give a classification of all irreducible diagonal ℤ-graded modules over certain Heisenberg Lie superalgebras contained in 𝔮(n)(2).

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Authors and Affiliations

  1. Department of Mathematics, Federal University of Minas Gerais, Belo Horizonte, MG, Brazil

    L. CALIXTO

  2. Institute of Mathematics, University of São Paulo, São Paulo, SP, Brazil

    V. FUTORNY

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  1. L. CALIXTO
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  2. V. FUTORNY
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Correspondence to L. CALIXTO.

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Supported by the CNPq grant (200783/2018-1).

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CALIXTO, L., FUTORNY, V. NON-STANDARD VERMA TYPE MODULES FOR 𝔮(n)(2). Transformation Groups 26, 809–825 (2021). https://doi.org/10.1007/s00031-020-09550-y

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  • DOI: https://doi.org/10.1007/s00031-020-09550-y

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